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Finding the Third Proportional to 442,675.13 and 649,480.78

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Solution

The third proportional to 442,675.13 and 649,480.78 is: 952,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,675.13 : 649,480.78 = 649,480.78 : x
  2. Step 2: Convert to fraction form
    442,675.13/649,480.78 = 649,480.78/x
  3. Step 3: Cross multiply
    442,675.13x = 649,480.78 × 649,480.78
  4. Step 4: Simplify right side
    442,675.13x = 421,825,285,213.11
  5. Step 5: Solve for x
    x = 421,825,285,213.11/442,675.13
  6. Step 6: Final answer
    x = 952,900.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.